Search a number
-
+
13235291244 = 22337192513671
BaseRepresentation
bin11000101001110001…
…01000010001101100
31021011101112110101000
430110320220101230
5204101213304434
610025154120300
7645661055640
oct142470502154
937141473330
1013235291244
115681a8222a
122694580090
13132c0644a6
148d7ad6c20
15526e2cb99
hex314e2846c

13235291244 has 192 divisors, whose sum is σ = 41455411200. Its totient is φ = 3567240000.

The previous prime is 13235291243. The next prime is 13235291291. The reversal of 13235291244 is 44219253231.

13235291244 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 529 + 124 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13235291199 and 13235291208.

It is not an unprimeable number, because it can be changed into a prime (13235291243) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3603529 + ... + 3607199.

It is an arithmetic number, because the mean of its divisors is an integer number (215913600).

Almost surely, 213235291244 is an apocalyptic number.

13235291244 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13235291244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20727705600).

13235291244 is an abundant number, since it is smaller than the sum of its proper divisors (28220119956).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13235291244 is a wasteful number, since it uses less digits than its factorization.

13235291244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3961 (or 3953 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The spelling of 13235291244 in words is "thirteen billion, two hundred thirty-five million, two hundred ninety-one thousand, two hundred forty-four".